Finite groups admitting fixed-point free automorphisms of order pqr

Date

2004-01-01

Author

Ercan, Gülin

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

141
views

0
downloads

Subject Keywords

Algebra and Number Theory

URI

https://hdl.handle.net/11511/40671

Journal

JOURNAL OF GROUP THEORY

DOI

https://doi.org/10.1515/jgth.2004.7.4.437

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

On maximal curves and linearized permutation polynomials over finite fields Özbudak, Ferruh (Elsevier BV, 2001-08-08) The purpose of this paper is to construct maximal curves over large finite fields using linearized permutation polynomials. We also study linearized permutation polynomials under finite field extensions.
On algebraic K-theory of real algebraic varieties with circle action Ozan, Yıldıray (Elsevier BV, 2002-05-24) Assume that X is a compact connected orientable nonsingular real algebraic variety with an algebraic free S-1-action so that the quotient Y=X/S-1 is also a real algebraic variety. If pi:X --> Y is the quotient map then the induced map between reduced algebraic K-groups, tensored with Q, pi* : (K) over bar (0)(R(Y, C)) circle times Q --> (K) over bar (0)(R(X, C)) circle times Q is onto, where R(X, C) = R(X) circle times C, R(X) denoting the ring of entire rational (regular) functions on the real algebraic va...
On the generating graphs of symmetric groups Erdem, Fuat (Walter de Gruyter GmbH, 2018-07-01) Let S-n and A(n) be the symmetric and alternating groups of degree n, respectively. Breuer, Guralnick, Lucchini, Maroti and Nagy proved that the generating graphs Gamma(S-n) and Gamma(A(n)) are Hamiltonian for sufficiently large n. However, their proof provided no information as to how large n needs to be. We prove that the graphs Gamma(S-n) and Gamma(A(n)) are Hamiltonian provided that n (3) 107.
Galois structure of modular forms of even weight Gurel, E. (Elsevier BV, 2009-10-01) We calculate the equivariant Euler characteristics of powers of the canonical sheaf on certain modular curves over Z which have a tame action of a finite abelian group. As a consequence, we obtain information on the Galois module structure of modular forms of even weight having Fourier coefficients in certain ideals of rings of cyclotomic algebraic integers. (c) 2009 Elsevier Inc. All rights reserved.
Some maximal function fields and additive polynomials GARCİA, Arnaldo; Özbudak, Ferruh (Informa UK Limited, 2007-01-01) We derive explicit equations for the maximal function fields F over F-q(2n) given by F = F-q(2n) (X, Y) with the relation A(Y) = f(X), where A(Y) and f(X) are polynomials with coefficients in the finite field F-q(2n), and where A(Y) is q- additive and deg(f) = q(n) + 1. We prove in particular that such maximal function fields F are Galois subfields of the Hermitian function field H over F-q(2n) (i.e., the extension H/F is Galois).

Citation Formats

G. Ercan, “Finite groups admitting fixed-point free automorphisms of order pqr,” JOURNAL OF GROUP THEORY, pp. 437–446, 2004, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/40671.